1/2(n^2-n)-66=0

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Solution for 1/2(n^2-n)-66=0 equation: 


n in (-oo:+oo)

(1/2)*(n^2-n)-66 = 0

1/2*(n^2-n)-66 = 0

1/2*(n^2-n)-66 = 0

1/2*n^2-1/2*n-66 = 0

1/2*n^2-1/2*n-66 = 0

1/2*n^2-1/2*n-66 = 0

DELTA = (-1/2)^2-(-66*1/2*4)

DELTA = 529/4

DELTA > 0

n = ((529/4)^(1/2)+1/2)/(1/2*2) or n = (1/2-(529/4)^(1/2))/(1/2*2)

n = 12 or n = -11

(n+11)*(n-12) = 0

(n+11)*(n-12) = 0

( n+11 )

n+11 = 0 // - 11

n = -11

( n-12 )

n-12 = 0 // + 12

n = 12

n in { -11, 12 }

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